Fig. 4.

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Examples of families (gλ)λ of calibration functions. In Fig. 4a (additive calibration), λ ranges from −∞ to +∞ with λ0 = 0, whereas in Figs. 4b (multiplicative calibration) and 4c (chi-squared calibration), λ ranges from zero to +∞ with λ0 = 1. In Fig. 4c, the number k of degrees of freedom is set to three, the scaling factor a is set to 0.01, and the multiplicative factor b is set to the maximum value such that gλ remains non-decreasing for any λ ≥ 0, that is, b ≈ 0.041. (a) gλ : r ↦ max(r + λ, 0), (b) gλ : r ↦ λr, (c) gλ : r ↦ r + bFX2(k)(r/a)(λ − 1).
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